Traveling nonsmooth solution and conserved quantities of long nonlinear internal waves
type: Item
instance of: scholarly article
title: Traveling nonsmooth solution and conserved quantities of long nonlinear internal waves
zbMATH Open document ID: 1498.34065
author: Supriya Mandal
author: Prakash Kr. Das
author: Debabrata Singh
author: M. M. Panja
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2022-11-09T00:00:00Z
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 7613969
zbMATH Keywords: long nonlinear internal waves
zbMATH Keywords: generalized Gardner equation
zbMATH Keywords: rapidly convergent approximation method
zbMATH Keywords: traveling nonsmooth solution
zbMATH Keywords: constant of the motion
MaRDI profile type: Publication
full work available at URL: s13226-021-00194-6
OpenAlex ID: W3210130358
cites work: Internal waves of finite amplitude and permanent form
cites work: Internal waves of permanent form in fluids of great depth
cites work: Long Non‐Linear Waves in Fluid Flows
cites work: LONG NONLINEAR INTERNAL WAVES
cites work: Wave group dynamics in weakly nonlinear long-wave models
cites work: Nonlinear waves in fluids: Recent advances and modern applications. CISM summer school, Udine, Italy, September 20--24, 2004.
cites work: The Korteweg-de Vries equation and water waves. Part 2. Comparison with experiments
cites work: Sharp well-posedness results for the BBM equation
cites work: Generation of large-amplitude solitons in the extended Korteweg–de Vries equation
cites work: Beyond the KdV: Post-explosion development
cites work: Adiabatic decay of internal solitons due to Earth's rotation within the framework of the Gardner–Ostrovsky equation
cites work: The initial-value problem for the Korteweg-de Vries equation
cites work: The generalized Benjamin-Bona-Mahony equation in n with singular initial data
cites work: Variants of the generalized fifth-order KdV equation with compact and noncompact structures
cites work: Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation
cites work: The first integral method for modified Benjamin-Bona-Mahony equation
cites work: 1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity
cites work: A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
cites work: A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order
cites work: An integrable shallow water equation with peaked solitons
cites work: Remark on peakon solution to the nonlinear surface wind waves equation
cites work: Piecewise smooth localized solutions of Liénard‐type equations with application to NLSE
cites work: An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws
cites work: Exponential B-spline collocation solutions to the Gardner equation
cites work: A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations
cites work: Q3579593
cites work: Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system
cites work: Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
cites work: Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics
cites work: Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma
cites work: Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles
DOI: 10.1007/S13226-021-00194-6
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7613969